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There are 13 ranks and 4 suits in a standard deck of cards. Each card has exactly one rank and one suit, making 13.4 52 cards. a In poker, you randomly draw a hand of 5 cards (and play all five cards). What is the probability of drawing a flush, i.e. five cards of the same suit? b In the video game Balatro, you draw 8 cards but still play only 5 cards. What is the probability of being able to play a flush? Hint: consider what could be the best/most efficient way to count this to avoid double counting. Rephrasing the question might help.

There are 13 ranks and 4 suits in a standard deck of cards. Each card has exactly one rank and one suit, making 13.4 52 cards. a In poker, you randomly draw a hand of 5 cards (and play all five cards). What is the probability of drawing a flush, i.e. five cards of the same suit? b In the video game Balatro, you draw 8 cards but still play only 5 cards. What is the probability of being able to play a flush? Hint: consider what could be the best/most efficient way to count this to avoid double counting. Rephrasing the question might help.

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 12RP
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There are 13 ranks and 4 suits in a standard deck of cards. Each card has exactly one rank and one suit, making 13.4 52 cards. a In poker, you randomly draw a hand of 5 cards (and play all five cards). What is the probability of drawing a flush, i.e. five cards of the same suit? b In the video game Balatro, you draw 8 cards but still play only 5 cards. What is the probability of being able to play a flush? Hint: consider what could be the best/most efficient way to count this to avoid double counting. Rephrasing the question might help.
Transcribed Image Text:There are 13 ranks and 4 suits in a standard deck of cards. Each card has exactly one rank and one suit, making 13.4 52 cards. a In poker, you randomly draw a hand of 5 cards (and play all five cards). What is the probability of drawing a flush, i.e. five cards of the same suit? b In the video game Balatro, you draw 8 cards but still play only 5 cards. What is the probability of being able to play a flush? Hint: consider what could be the best/most efficient way to count this to avoid double counting. Rephrasing the question might help.
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